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F = ma (First 10)
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FMA-2015-06 · 2015 F = ma (AAPT)

2015 F = ma Exam — Question 6

6. Three trolley carts are free to move on a one dimensional frictionless horizontal track. Cart A has a mass of 1.9 kg and an initial speed of 1.7 m/s to the right; Cart B has a mass of 1.1 kg and an initial speed of 2.5 m/s to the left; cart C has a mass of 1.3 kg and is originally at rest. Collisions between carts A and B are perfectly elastic; collisions between carts B and C are perfectly inelastic. Cart A Cart B Cart C 1.9 kg 1.1 kg 1.3 kg 1.7 m/s 2.5 m/s What is the velocity of the center of mass of the system of the three carts after the last collision?
Source: Question 6, 2015 F = ma Exam, © 2015 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.